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3 years ago

15

A car has a mass of 2000 kg and accelerates at 2 meters per second per second. What is the magnitude of the net force exerted on

the car?

1 answer:

umka2103 [35]3 years ago

5 0

Hello!

$\large\boxed{4000 N}$

Use the following equation to solve for the net force (N):

∑F = m × a

Plug in the given mass (kg) and speed (m)

∑F = 2000 * 2

Simplify:

∑F = 4000 N

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Answer:

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Explanation:

Given

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Velocity = dx/dt = -Aw sin(wt + φ)

Acceleration = d²x/dt = -Aw² cos(wt + φ)

From the question, we were given, magnitude of acceleration to be 7.8*10^3 m/s²

Aw² = 7.8*10^3

w² = 7.8*10^3 / A

w² = 7.8*10^3 / 8.3*10^-3

w² = 939759

w = √939759

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Maximum speed = Aw

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Maximum speed = 8.0 m/s

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1/2mv(max)² =

1/2 * 0.094 * 8² =

3 J

Maximum displacement

x = A cos(wt + φ)

For x to be maximum here, then cos(wt + φ) Must be equal to 1

Acceleration = d²x/dt² = -Aw²

And force = mass * acceleration

Force = 0.094 * 7.8*10^3

Force = 733 N

x = A cos(wt + φ), where cos(wt + φ) = 1/2

d²x/dt² = -Aw² * 1/2

d²x/dt² = 733 * 0.5

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