To find the acceleration of an object, you can use Newton's Second Law of Motion, which states:

$\text{Force} = \text{Mass} \times \text{Acceleration}$

This can be rearranged to solve for acceleration:

$\text{Acceleration} = \frac{\text{Force}}{\text{Mass}}$

1. Acceleration of a 60 kg object pushed with a force of 1000 N:

Given:

• Mass $m = 60 \, \text{kg}$
• Force $F = 1000 \, \text{N}$

$\text{Acceleration} = \frac{1000 \, \text{N}}{60 \, \text{kg}} = \frac{1000}{60} \, \text{m/s}^2 = 16.67 \, \text{m/s}^2$

2. Acceleration of an object with 11 N and 0.9 kg:

Given:

• Mass $m = 0.9 \, \text{kg}$
• Force $F = 11 \, \text{N}$

$\text{Acceleration} = \frac{11 \, \text{N}}{0.9 \, \text{kg}} = \frac{11}{0.9} \, \text{m/s}^2 \approx 12.22 \, \text{m/s}^2$

Summary:

1. Acceleration of the 60 kg object: $16.67 \, \text{m/s}^2$
2. Acceleration of the 0.9 kg object: $12.22 \, \text{m/s}^2$

Do you want more details or have any questions?

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Here are 5 related questions for further exploration:

1. How would the acceleration change if the force applied to the 60 kg object is doubled?
2. What would be the acceleration if a 0.9 kg object was pushed with a force of 5 N?
3. How does friction affect the acceleration calculated in these examples?
4. Can you calculate the force required to give a 10 kg object an acceleration of 20 m/s²?
5. What is the acceleration of a 15 kg object pushed with 300 N?

Tip: Always make sure the force is in Newtons (N) and mass in kilograms (kg) before applying Newton's Second Law for acceleration.