Please help me. I need physics help. I don't understand how to do these questions. Can someone show me what I should use? and explain. I'll do calculations by myself.
A stationary curling stone is struck in a glancing collision by a second curling stone of equal
mass. If the first stone moves away at a velocity of 0.92 m/s [N71oW] and the second stone
moves away at a velocity of 1.25 m/s [N44oE], what was the initial velocity of the second stone?
(5 marks)
2. A billiard ball (0.62 kg) with a velocity of 2.0 m/s [N] hits another ball and has a velocity of 1.7
m/s [E] after the collision. Determine the impulse on the ball and the average force exerted on it
during the collision if the duration of the collision was 0.0072 s. (5 marks)
3. Two billiard balls of equal mass undergo a head on collision. The red ball is travelling at 2.1
m/s [right] and hits the blue ball travelling at 3.0 m/s [left]. If the speed of the red ball after the
collision is 3.0 m/s [left], determine the velocity of the blue ball after the collision. (5 marks)
4. A car with a mass of 1800 kg is initially travelling with a velocity of 22 m/s [N] when it collides
with a truck with a mass of 3200 kg traveling with a velocity of 14 m/s [E]. If the two vehicles
become attached during the collision, determine their final velocity. (5 marks)
1. write conservation of momentum in two directions, N, and E
Write the energy equation. You have now three equations, two unknowns:
2.again, momentum in two dimensions.
force in each direction=changevelocityin direction/time
Then you can get net force by adding the two vectors.
3. solve with conservation of momentum
4. Again, conservation of momentum in N, and E directions. You have two unknowns (Veast, Vnorth).
Sure, I can help you with these physics questions. Let's go through each question step by step:
1. In this question, you are given the velocities of two curling stones after a collision and you need to find the initial velocity of the second stone.
To solve this problem, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
Let's assume the initial velocity of the second stone is "v2."
Using vector addition, we can break down the velocities of the two stones into their horizontal and vertical components.
The first stone moves away at a velocity of 0.92 m/s [N71oW]. Breaking this down into x and y components, we have:
Vx1 = 0.92 cos(71°)
Vy1 = 0.92 sin(71°)
Similarly, the second stone moves away at a velocity of 1.25 m/s [N44oE]. Breaking this down into x and y components, we have:
Vx2 = 1.25 cos(44°)
Vy2 = 1.25 sin(44°)
Using conservation of momentum, we can write:
m1 * Vx1 + m2 * Vx2 = m1 * v1x + m2 * v2x
m1 * Vy1 + m2 * Vy2 = m1 * v1y + m2 * v2y
Since the two stones have equal masses, we can simplify the above equations to:
Vx1 + Vx2 = v1x + v2x
Vy1 + Vy2 = v1y + v2y
Substituting the values we have, the equations become:
0.92 cos(71°) + 1.25 cos(44°) = 0 + v2x
0.92 sin(71°) + 1.25 sin(44°) = 0 + v2y
Now, you can solve these two equations to find the values of v2x and v2y. Once you have the components of velocity, you can calculate the magnitude and direction of the initial velocity of the second stone using the Pythagorean theorem and trigonometry.
2. In this question, you are given the initial and final velocities of a billiard ball during a collision, as well as the duration of the collision. You need to find the impulse on the ball and the average force exerted on it during the collision.
To solve this problem, we can use the impulse-momentum principle, which states that the impulse acting on an object is equal to the change in momentum.
The impulse, J, is given by:
J = m * Δv
Where m is the mass of the ball and Δv is the change in velocity.
In this case, the impulse on the ball can be calculated as:
J = m * (vf - vi)
Substituting the given values, we have:
J = 0.62 kg * (1.7 m/s - 2.0 m/s)
Solve this equation to find the value of J.
To calculate the average force exerted on the ball during the collision, we can use the formula:
F_avg = J / Δt
Where F_avg is the average force and Δt is the duration of the collision.
Substituting the given values, we have:
F_avg = J / 0.0072 s
Solve this equation to find the value of F_avg.
3. In this question, you are given the initial velocities of two billiard balls before a head-on collision, as well as the velocity of one ball after the collision. You need to find the velocity of the other ball after the collision.
To solve this problem, we can use the principle of conservation of momentum.
According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
Let's assume the velocity of the blue ball after the collision is "v_blue." We need to find this value.
Using conservation of momentum, we can write:
m_red * v_red_initial + m_blue * v_blue_initial = m_red * v_red_final + m_blue * v_blue
Substituting the given values, the equation becomes:
(2.1 kg) * (2.1 m/s) + (3.0 kg) * (-3.0 m/s) = (2.1 kg) * (-3.0 m/s) + (3.0 kg) * v_blue
Now, you can solve this equation to find the value of v_blue.
4. In this question, you are given the masses and velocities of a car and a truck before a collision, as well as the fact that the vehicles become attached during the collision. You need to determine their final velocity.
To solve this problem, we can use the principle of conservation of momentum.
According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
Let's assume the final velocity of the car and the truck after the collision is "v_final." We need to find this value.
Using conservation of momentum, we can write:
(m_car_initial * v_car_initial) + (m_truck_initial * v_truck_initial) = (m_car_truck_final) * v_final
Substituting the given values, the equation becomes:
(1800 kg * 22 m/s) + (3200 kg * 14 m/s) = (1800 kg + 3200 kg) * v_final
Now, you can solve this equation to find the value of v_final.
Remember to use proper unit conversions and pay attention to the directions of velocities when applying the conservation of momentum principle.
Sure! I can help you with these physics questions. Let's go through each question one by one and discuss the concepts and equations you need to apply to solve them.
1. For the first question, we have a glancing collision between two curling stones. We are given the final velocities of the stones after the collision, and we need to find the initial velocity of the second stone.
To solve this, we can use the conservation of linear momentum. The total linear momentum before the collision should be equal to the total linear momentum after the collision.
Linear momentum is given by the equation: momentum = mass * velocity
Since both stones have equal mass and the first stone is stationary initially, the momentum of the first stone before the collision is 0. The momentum of the second stone before the collision is given by: momentum = mass * velocity of the second stone.
So, setting up the equation for conservation of linear momentum:
0 + mass * velocity of the second stone before collision = mass * velocity of the first stone after collision + mass * velocity of the second stone after collision
Simplifying the equation, we get:
velocity of the second stone before collision = velocity of the first stone after collision + velocity of the second stone after collision
Plug in the given values and calculate the answer.
2. In this question, we are given the masses and velocities of two billiard balls before and after a collision. We need to determine the impulse on the ball and the average force exerted on it during the collision.
Impulse is defined as the change in momentum. The equation for impulse is: impulse = change in momentum = mass * change in velocity
To find the impulse on the ball, we need to calculate the change in velocity. It is given by: change in velocity = final velocity - initial velocity
Once we have the impulse, we can calculate the average force exerted using the equation: average force = impulse / time duration of the collision
Substitute the given values into the equations and calculate the answer.
3. This question involves a head-on collision between two billiard balls. We are given the velocities of the balls before and after the collision, and we need to find the velocity of the blue ball after the collision.
Again, we can use the conservation of linear momentum to solve this problem. The total linear momentum before the collision should be equal to the total linear momentum after the collision.
Setting up the equation for conservation of linear momentum:
mass of red ball * velocity of red ball before collision + mass of blue ball * velocity of blue ball before collision = mass of red ball * velocity of red ball after collision + mass of blue ball * velocity of blue ball after collision
Rearranging the equation to solve for the velocity of the blue ball after the collision, we get:
velocity of blue ball after collision = (mass of red ball * velocity of red ball before collision + mass of blue ball * velocity of blue ball before collision - mass of red ball * velocity of red ball after collision) / mass of blue ball
Plug in the given values and calculate the answer.
4. In this question, we have a collision between a car and a truck. They collide and become attached, and we need to find their final velocity.
Conservation of linear momentum can be used again to solve this problem. The total linear momentum before the collision is equal to the total linear momentum after the collision.
Setting up the equation for conservation of linear momentum:
mass of car * velocity of car before collision + mass of truck * velocity of truck before collision = (mass of car + mass of truck) * final velocity of the combined vehicles
Rearranging the equation to solve for the final velocity, we get:
final velocity of the combined vehicles = (mass of car * velocity of car before collision + mass of truck * velocity of truck before collision) / (mass of car + mass of truck)
Substitute the given values and calculate the answer.
Remember to use appropriate units and pay attention to the directions (indicated by compass points and words like "left" or "right") while calculating the vector quantities.