Four kids are pushing a cart with four different forces (as shown on the diagram

Question

Four kids are pushing a cart with four different forces (as shown on the diagram, where each square represents 20 N of force). Find the x and y components of the net force experienced by the cart. What is the magnitude of the above net force? If the acceleration of the cart is 2 m/s^2, what is its mass? Martha is driving her car at a constant speed for 3 seconds. Then she braked her car at a stop sign with a constant force for 4 seconds. She stopped for 2 seconds, and then accelerated her car with a constant force for 3 seconds. Then she saw a pedestrian illegally crossing the street in front of her and braked to a stop -within 2 seconds. Sketch the force and velocity graphs (label the times). Peter is driving on a freeway at 65 MPH and suddenly see a stalled vehicle 1/4 miles in front of him. He slammed on his brake and just able to stop right in front of that vehicle. The total mass of Peter's car is 1600 kg. There is an average air resistance of 500 N applied on the car. What is the acceleration of Peter's car? Find the net force Peter s car experiences. Draw a free body diagram of Peter's car. Find the braking force on Peter's car. Find the normal force on Peter's car.

Explanation / Answer

1)

a.

F1 = (2 x 20) i + (4 x 20)j = 40i + 80j N

F2 = (4 x 20) i + (-1 x 20)j = 80i + -20j N

F3 = (-3 x 20) i + (2 x 20)j = -60i + 40j N

F4 = (1 x 20) i + (-4 x 20)j = 20i - 80j N

Fnet = F1 + F2 + F3 + F4

= 80i - 20j N

ANs ( 80, -20) N

b.

magnitude = sqrt(Fx^2 + Fy^2) = 82.46 N

c. Fnet = ma

82.46 = 2m

m = 41.23 kg

Please one question at a time.

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