Question

1. a total of 4900 j of potential energy is used to lift a 50 kg mass. the mass is raised to a height of (a) 10 m (b) 98 m (c) 960 m (d) 245 m

Explanation:

Step1: Recall potential - energy formula

The formula for gravitational potential energy is $U = mgh$, where $U$ is potential energy, $m$ is mass, $g$ is acceleration due to gravity ($g= 9.8\ m/s^{2}$), and $h$ is height.
We need to solve for $h$, so we can re - arrange the formula to $h=\frac{U}{mg}$.

Step2: Substitute given values

Given $U = 4900\ J$, $m = 50\ kg$, and $g = 9.8\ m/s^{2}$.
Substitute these values into the formula: $h=\frac{4900}{50\times9.8}$.
First, calculate the denominator: $50\times9.8 = 490$.
Then, calculate $h$: $h=\frac{4900}{490}=10\ m$.

Answer:

(a) 10 m