1.The forces are acting on an object which in equilibrium determines the force C? A=200N530 C 370 B=50N
2. Two cars A and B are moving along a straight road in opposite directions with velocity 60km/Hr and 80km/Hr respectively. Then find the velocity of car B relative to car A?
3. A force vector of magnitude 200N is acting at 370 North to East. Then find the X and Y components of the force vectors? V(m/s)20m/s t(s) 5 10 15From the (V-t) graph find A) The maximum Accelerations?
B) The total Displacement?
5. Define the following terms
A) Elastic modulus
B) Stress
C) Strain
D) Young modulus
1. The force C can be determined by considering the principles of equilibrium, which state that the sum of all forces acting on an object in equilibrium is equal to zero. Therefore, the force C can be determined by finding the sum of the forces A and B and setting it equal to zero. In this case, A = 200N, B = 50N, and C is the unknown force. So, A + B + C = 0. Rearranging the equation, we have C = -A - B. Substituting the values, C = -200N - 50N = -250N. Therefore, the force C is -250N.
2. The velocity of car B relative to car A can be found by subtracting the velocity of car A from the velocity of car B. In this case, car A has a velocity of 60 km/hr and car B has a velocity of 80 km/hr. Therefore, the velocity of car B relative to car A is 80 km/hr - 60 km/hr = 20 km/hr.
3. To find the x and y components of the force vector, we can use the principles of trigonometry. The magnitude of the force is given as 200N and the angle it makes with the east direction is 370°. We can split the force vector into its x and y components using the following formulas:
Force in the x direction (Fx) = Force magnitude * cos(angle)
Force in the y direction (Fy) = Force magnitude * sin(angle)
Plugging in the values, we get:
Fx = 200N * cos(370°)
Fy = 200N * sin(370°)
Calculating these values will give us the x and y components of the force vector.
4. The maximum acceleration can be found by determining the steepest slope on the (v-t) graph. This can be done by finding the largest change in velocity over a given time interval. In this case, we are provided with the velocity values at different time intervals (V(m/s) and t(s)).
To find the maximum acceleration, we can calculate the difference in velocity (change in velocity) over the shortest time interval provided. In this case, the shortest time interval is 5 seconds.
So, the maximum acceleration = (change in velocity) / (shortest time interval) = (20 m/s - 0 m/s) / 5 s = 4 m/s².
B) To find the total displacement from the (v-t) graph, we need to calculate the area under the graph. In this case, the graph represents velocity (V) on the y-axis and time (t) on the x-axis.
To find the total displacement, we can calculate the area under the graph by summing up the areas of the individual rectangles formed by the graph. Each rectangle has a width equal to the time interval and a height equal to the velocity value.
In this case, we have three rectangles with corresponding time intervals and velocity values:
Rectangle 1: Width = 5 s, Height = 20 m/s
Rectangle 2: Width = 10 s - 5 s = 5 s, Height = 20 m/s
Rectangle 3: Width = 15 s - 10 s = 5 s, Height = 20 m/s
Calculating the total area will give us the total displacement.
Total displacement = (Area of Rectangle 1) + (Area of Rectangle 2) + (Area of Rectangle 3)
= (5 s * 20 m/s) + (5 s * 20 m/s) + (5 s * 20 m/s)
= 100 m + 100 m + 100 m
= 300 m
Therefore, the total displacement is 300 meters.
5. Definitions:
A) Elastic modulus: The elastic modulus, also known as Young's modulus, is a measure of the stiffness of a material. It quantifies the ability of a material to resist deformation under an applied force. It is defined as the ratio of stress to strain in a material.
B) Stress: Stress is a measure of the internal forces that develop within a material in response to an applied force or load. It is defined as the force per unit area and is typically measured in units of pressure (e.g., N/m² or Pa).
C) Strain: Strain is a measure of the deformation or change in shape of a material in response to an applied force or load. It is defined as the fractional change in length or shape of a material and is usually expressed as a percentage or in decimal form.
D) Young's modulus: Young's modulus, also known as elastic modulus, is a measure of the stiffness or rigidity of a material. It is defined as the ratio of stress to strain in a material and is used to characterize the elastic properties of a material. It is named after the British scientist Thomas Young.