Question

a net force of 15 Newtons applied to a cart with a mass of 2.1 kg
a. what is the acceleration of the cart
b. how long will it take the cart to travel 2.8 M starting from rest

Answer 1

Heya, Here is your Answer :-

a) Force,F = 15 N
Mass,M = 2.1 kg
Acceleration,a = ?

♠ $force \: = \: mass \: \times \: acceleration$

So,

♠ $acceleration \: = \: \frac{force}{mass}$

a = 15/2.1
a = 7.142857 m/s^2

So,
The Acceleration , a is 7.142857 m/s^2

b) Distance,S = 2.8 m
Acceleration,a = 7.14 m/s^2
Initial Velocity,u = 0
Time,t = ?

♠ $s \: = ut \: + \frac{a {t}^{2} } {2}$

So,

2.8 = 0 + 7.14*t^2/2
t = 0.885615 s

So,
The Cart took 0.885615 seconds to cover a Distance of 2.8 metres.

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