Question

1. requires a force of 418 n to achieve. what is the mass of this majestic animal? 11. a very large cannon is able to fire a 270 kg projectile at an unsuspecting foe at a rate of 62.5 m/s². what force is required to launch such a massive object? 12. a cow with a mass of 1090 kg was peacefully eating grass when a beam of light lifted it with a force of 49,050 newtons up to a ufo. due to its lack of intelligence, it was put back the next morning when the aliens assumed it was the dominant species on the planet, thereby preventing an intergalactic war. at what rate did the cow accelerate towards the ufo?

Explanation:

Step1: Recall Newton's second - law formula

The formula for Newton's second law is $F = ma$, where $F$ is the force, $m$ is the mass, and $a$ is the acceleration. We can re - arrange it to solve for the unknown variable.

Step2: Solve for the mass in the first problem

Given $F = 418\ N$ and $a=11\ m/s^{2}$, from $F = ma$, we can find $m$ by $m=\frac{F}{a}$. Substituting the values, we have $m=\frac{418}{11}=38\ kg$.

Step3: Solve for the force in the second problem

Given $m = 270\ kg$ and $a = 62.5\ m/s^{2}$, using $F = ma$, we get $F=270\times62.5 = 16875\ N$.

Step4: Solve for the acceleration of the cow

Given $F = 49050\ N$ and $m = 1090\ kg$, from $F = ma$, we can find $a$ by $a=\frac{F}{m}$. Substituting the values, $a=\frac{49050}{1090}=45\ m/s^{2}$.

Answer:

1. Mass of the object: $38\ kg$
2. Force required for the projectile: $16875\ N$
3. Acceleration of the cow: $45\ m/s^{2}$