<h2>
Answer:</h2><h2>
</h2>
52.555 N
<h2>
Explanation:</h2>
Let's use Newton's second law of motion here which states that the resultant force (∑F) acting on a body is the product of the mass (m) of the body and the acceleration (a) due to this force. i.e
∑F = m x a ---------------------(i)
<em>Now, let's get the resultant force;</em>
Two main forces are acting on the rope;
i. the weight (W) of the block acting downwards.
Where;
W = mass of block(m) x gravity(g) = m x g
ii. the tension (T) in the rope acting upwards.
Therefore, the resultant force is the vector sum of these two forces as follows;
∑F = - W + T [upward motion is taken as positive. hence -W and +T]
<em>Substitute ∑F = - W + T into equation (i) as follows;</em>
- W + T = m x a ---------------------(ii)
<em>From the question;</em>
* Weight (W) of the block = 45.7N
=> mass (m) of the block = W / g = 45.7 / 10 [Taking g = 10m/s²]
=> m = 4.57 kg
* acceleration (a) = 1.50m/s²
<em>Substitute these values into equation (ii) as follows;</em>
- 45.7 + T = 4.57 x 1.50
- 45.7 + T = 6.855
<em>Solve for T;</em>
T = 6.855 + 45.7
T = 52.555 N
Therefore, the tension in the rope is 52.555 N
