Did i do number 2 and 3 correct?
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)
2) 1.6275 (kg.m)/s (East 49.6 degrees South) and the force exerted is 226N (East 49.6 degrees South)
Physics - Am I correct? - JOHN CENA, Thursday, January 28, 2016 at 8:02pm
3) 2.1m/s (right)
yeah
To determine if the answers to questions 2 and 3 are correct, we need to calculate the values for impulse and force in question 2, and the velocity of the blue ball in question 3.
For question 2:
Impulse (J) is defined as the change in momentum of an object:
J = Δp = m * Δv
Where m is the mass of the object and Δv is the change in velocity. In this case, the mass is given as 0.62 kg, and the change in velocity is the difference between the initial and final velocities, which are 2.0 m/s [N] and 1.7 m/s [E] respectively. Thus, the impulse can be calculated as:
J = 0.62 kg * (1.7 m/s [E] - 2.0 m/s [N])
Next, to determine the average force (F_avg) exerted on the ball during the collision, we can use the formula:
F_avg = J / Δt
Where Δt is the duration of the collision, given as 0.0072 s. Plug in the values and calculate F_avg.
For question 3:
Since the billiard balls are undergoing a head-on collision, the total momentum is conserved. Therefore, we can use the principle of conservation of momentum:
m1 * v1 + m2 * v2 = m1 * v1' + m2 * v2'
Where m1 and m2 are the masses of the red and blue balls respectively, v1 and v2 are the initial velocities, and v1' and v2' are the final velocities. Solving for v2', we have:
v2' = (m1 * v1 + m2 * v2 - m1 * v1') / m2
Substitute the given values into the equation and solve for v2'.
Once you have calculated the values for impulse and force in question 2, and the velocity of the blue ball in question 3, compare them with the given answers to determine if you are correct.