A remote-control car with a mass of 3.37-kg moves in a straight line along the x

Question

A remote-control car with a mass of  3.37-kg moves in a straight line along the x-axis. The figure (Figure 1) shows a graph of the x-component of this car's velocity as a function of time.

Part A

When does the maximum net force on the car occur?

Part B

What is the magnitude of the largest net force on the car during the time shown?

Part C

When is the net force on the car equal to zero?

When is the net force on the car equal to zero?

Part D

What is the magnitude of the net force on the car at time 8.5 s?

a.) in the interval t=0 to t=2.00s. b.) in the interval t=2.00 to t=6.00s. c.) in the interval t=6.00 to t=10.00s. Vx (m/s) 12.0 10.0 · 8.0 F 6.0 4.0 2.0 (s) 01 2.0 4,0 6,0 8.0 10.0

Explanation / Answer

given mass m = 3.37 kg

a. as we know force is proportional to acceleration

acceleration is clope of the velocity time curve

hence

acceleration is maximum in oart0 to 2 s

hence

option a)

b. magnitude of largest force = m*a

a = 8/2 = 4 m/s/s

hence F = 13.48 N

c. net force of car is 0 when net acceleration is 0

i.e. slope of speed time graph is 0

hence

form t = 2 to t = 6 s

hence

option b)

d. at t =8.5 s

a = (12 - 8)/4 = 1 m/s/s

F = m*a = 3.37 N

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