Question

A crate on a motorized cart starts from rest and moves with a constant eastward acceleration of a = 2.30 m/s2 . A worker assists the cart by pushing on the crate with a force that is eastward and has magnitude that depends on time according to f(t)=(5.40n/s)t.

Answer 1

 Best Answer

If crate has an accleration of 2.6 m/s^2: 
Then after 4.3 s it is moving at: 
V = U + AT 
V = 0 + 2.4 x 4.3 = 11.18 m/s 

Usain Bolt ran his 100 m in 9.58 sec ( or about that), ie an average of 10.4 m/s 

Who the hell is this worker who can PUSH at 11.18 m/s??

Answer 2

Complete Question:
A crate on a motorized cart starts from rest and moves with a constant eastward acceleration of a = 2.30 m/s2. A worker assists the cart by pushing on the crate with a force that is eastward and has a magnitude that depends on time according to f(t)=(5.40n/s)t. Calculate the mass of the crate.

Answer:

The mass of the crate is 2.347 kg.

Explanation:

Given Data:

Acceleration of the crate(a) = 2.30 m/$s^{2}$

It is given that the force is a function of time (t)

The Force function f(t) is given by (5.40 n/s)t

To Calculate :

The mass of the crate.

Calculations:

Newton's Second Law of Motion states that:

F = ma

where F is the force, m is the mass and a is the acceleration of the body.

Rearranging the values to evaluate the mass, we get

$m = \frac{F}{a}$

So, the mass will be the ratio of Force to acceleration.

Now, Putting all the values in the above equation, we have

$m =\frac{5.40}{2.30} = 2.347$

Therefore, the mass of the crate is 2.347 kg.

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