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Tom enlists the help of his friend John to move his car. They apply forces to the car as shown in the diagram. Here F, = 437 N and F, = 359 N and friction is negligible. In the diagram below, the mass of the car = 3500 kg, e, = -25° and e, = 12°. (Assume the car faces the positive x-axis before the forces are applied.) F, (a) Find the resultant force (in N) exerted on the car. magnitude N direction (counterclockwise from the +x-axis) (b) What is the acceleration (in m/s?) of the car? magnitude m/s² direction (counterclockwise from the +x-axis)

Tom enlists the help of his friend John to move his car. They apply forces to the car as shown in the diagram. Here F, = 437 N and F, = 359 N and friction is negligible. In the diagram below, the mass of the car = 3500 kg, e, = -25° and e, = 12°. (Assume the car faces the positive x-axis before the forces are applied.) F, (a) Find the resultant force (in N) exerted on the car. magnitude N direction (counterclockwise from the +x-axis) (b) What is the acceleration (in m/s?) of the car? magnitude m/s² direction (counterclockwise from the +x-axis)

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**Problem Statement: Car Motion Analysis** Tom enlists the help of his friend John to move his car. They apply forces to the car as shown in the diagram. Here \( F_1 = 437 \, \text{N} \) and \( F_2 = 359 \, \text{N} \) and friction is negligible. In the diagram below, the mass of the car is \( 3500 \, \text{kg} \), \( \theta_1 = -25^\circ \) and \( \theta_2 = 12^\circ \). (Assume the car faces the positive x-axis before the forces are applied.) **Diagram Description:** The diagram shows a top view of a car with two forces \( F_1 \) and \( F_2 \) applied to it at different angles. Force \( F_1 \) points slightly downward from the positive x-axis, forming an angle of \( \theta_1 = -25^\circ \) (below the x-axis). Force \( F_2 \) points upward from the positive x-axis, forming an angle of \( \theta_2 = 12^\circ \) (above the x-axis). **Questions:** (a) **Find the resultant force (in N) exerted on the car.** - Magnitude: \_\_\_\_\_ N - Direction (counterclockwise from the +x-axis): \_\_\_\_\_ ° (b) **What is the acceleration (in m/s\(^2\)) of the car?** - Magnitude: \_\_\_\_\_ m/s\(^2\) - Direction (counterclockwise from the +x-axis): \_\_\_\_\_ °
Transcribed Image Text:**Problem Statement: Car Motion Analysis** Tom enlists the help of his friend John to move his car. They apply forces to the car as shown in the diagram. Here \( F_1 = 437 \, \text{N} \) and \( F_2 = 359 \, \text{N} \) and friction is negligible. In the diagram below, the mass of the car is \( 3500 \, \text{kg} \), \( \theta_1 = -25^\circ \) and \( \theta_2 = 12^\circ \). (Assume the car faces the positive x-axis before the forces are applied.) **Diagram Description:** The diagram shows a top view of a car with two forces \( F_1 \) and \( F_2 \) applied to it at different angles. Force \( F_1 \) points slightly downward from the positive x-axis, forming an angle of \( \theta_1 = -25^\circ \) (below the x-axis). Force \( F_2 \) points upward from the positive x-axis, forming an angle of \( \theta_2 = 12^\circ \) (above the x-axis). **Questions:** (a) **Find the resultant force (in N) exerted on the car.** - Magnitude: \_\_\_\_\_ N - Direction (counterclockwise from the +x-axis): \_\_\_\_\_ ° (b) **What is the acceleration (in m/s\(^2\)) of the car?** - Magnitude: \_\_\_\_\_ m/s\(^2\) - Direction (counterclockwise from the +x-axis): \_\_\_\_\_ °
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