Question

a tractor carrying hay bales has a total mass of 9 100 kg. what force is required to reach an acceleration of 4 m/s²?
a cannonball accelerates at 1000 m/s² from an applied force of 5000 n. what is the mass of the cannonball?
a 1000 kg satellite in space needs a course correction. to achieve this, one of its rocket motors is fired to apply 100 n of force as thrust. what will be the acceleration due to this thrust?
how much force is needed to accelerate a 2000 kg car by 3 m/s²?
a tiny aeroplane accelerates at 35 m/s² with a force of 20 n. what is the mass of the aeroplane?
what would be the acceleration of a projectile with a 6 kg mass being launched by piston force of 500 n?
© jadyn thone

Explanation:

First Problem (Tractor):

Step1: Recall Newton's Second Law ($F = ma$)

Newton's Second Law states that force $F$ is equal to mass $m$ multiplied by acceleration $a$, i.e., $F = ma$.

Step2: Identify given values

Mass $m = 9100\space kg$, acceleration $a = 4\space m/s^2$.

Step3: Calculate force

Substitute the values into the formula: $F = 9100\times4 = 36400\space N$.

Step1: Recall Newton's Second Law ($F = ma$), rearrange for mass

We know $F = ma$, so to find mass $m$, we rearrange the formula to $m=\frac{F}{a}$.

Step2: Identify given values

Force $F = 5000\space N$, acceleration $a = 1000\space m/s^2$.

Step3: Calculate mass

Substitute the values into the formula: $m=\frac{5000}{1000}= 5\space kg$.

Step1: Recall Newton's Second Law ($F = ma$), rearrange for acceleration

We know $F = ma$, so to find acceleration $a$, we rearrange the formula to $a=\frac{F}{m}$.

Step2: Identify given values

Mass $m = 1000\space kg$, force $F = 100\space N$.

Step3: Calculate acceleration

Substitute the values into the formula: $a=\frac{100}{1000}= 0.1\space m/s^2$.

Answer:

The force required is $36400\space N$.

Second Problem (Cannonball):