VERY IMPORTANT FOR AN ESSAY ASSIGNMENT. PLEASE HELP ASAP! THANK U VERYYYYY MUCH!
1. What force is needed to give a mass of 25 kg an acceleration of 20m/s squared?
2. A force of 6N acts upon a 2-kg mass. What is the acceleration of the masS?
3. It takes a force of 50N to give a body an acceleration of 10m/s squared. What is the mass of the body?
4. a) what is the weight of a 10-kg piece of iron?
b) what is the mass of an object that weighs 490N?
Try using Newton's second law: F = m a
m is the mass and a is the acceleration. The force will be in Newtons.
I am asking you people
aswer
Sure! Here are the step-by-step solutions to your questions:
1. Given:
Mass (m) = 25 kg
Acceleration (a) = 20 m/s²
Newton's second law states that force (F) is equal to mass (m) multiplied by acceleration (a):
F = m * a
Plugging in the values:
F = 25 kg * 20 m/s²
F = 500 N
Therefore, the force needed to give a mass of 25 kg an acceleration of 20 m/s² is 500 N.
2. Given:
Force (F) = 6 N
Mass (m) = 2 kg
Using Newton's second law, we can find the acceleration (a) by rearranging the equation:
F = m * a
Rearranging:
a = F / m
Plugging in the values:
a = 6 N / 2 kg
a = 3 m/s²
Therefore, the acceleration of the 2 kg mass is 3 m/s².
3. Given:
Force (F) = 50 N
Acceleration (a) = 10 m/s²
Rearranging Newton's second law equation:
F = m * a
Rearranging:
m = F / a
Plugging in the values:
m = 50 N / 10 m/s²
m = 5 kg
Therefore, the mass of the body is 5 kg.
4. a) Given:
Mass (m) = 10 kg
The weight of an object can be calculated using the equation:
Weight (W) = m * g
where g is the acceleration due to gravity, approximately 9.8 m/s².
Plugging in the values:
W = 10 kg * 9.8 m/s²
W = 98 N
Therefore, the weight of a 10 kg piece of iron is 98 N.
b) Given:
Weight (W) = 490 N
Using the equation above and rearranging:
W = m * g
m = W / g
Plugging in the values:
m = 490 N / 9.8 m/s²
m = 50 kg
Therefore, the mass of the object that weighs 490 N is 50 kg.
I hope this helps! Let me know if you have any further questions.
To answer these questions, you can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). By rearranging the formula, you can solve for the missing variable, be it force, mass, or acceleration.
Let's go through each question individually:
1. What force is needed to give a mass of 25 kg an acceleration of 20 m/s²?
To find the force, you can use the formula F = ma. Given that the mass (m) is 25 kg and the acceleration (a) is 20 m/s², you can simply plug in the values and calculate the force. F = 25 kg × 20 m/s² = 500 N.
2. A force of 6 N acts upon a 2-kg mass. What is the acceleration of the mass?
Using the same formula, F = ma, you are given the force (F) of 6 N and the mass (m) of 2 kg. Now, rearranging the formula to solve for acceleration (a), you get a = F/m. Plugging in the given values, you get a = 6 N / 2 kg = 3 m/s².
3. It takes a force of 50 N to give a body an acceleration of 10 m/s². What is the mass of the body?
Once again, you have the force (F) of 50 N and the acceleration (a) of 10 m/s². Rearranging the formula to solve for mass (m), you get m = F/a. Plugging in the given values, you get m = 50 N / 10 m/s² = 5 kg.
4. a) What is the weight of a 10-kg piece of iron?
Weight is a measure of the force of gravity acting on an object. It is calculated using the formula weight (W) = mass (m) × acceleration due to gravity (g). Assuming the acceleration due to gravity to be 9.8 m/s², you can plug in the values to find the weight. W = 10 kg × 9.8 m/s² = 98 N.
b) What is the mass of an object that weighs 490 N?
To find the mass, you can rearrange the weight formula to solve for mass (m). You have the weight (W) of 490 N and the acceleration due to gravity (g) of 9.8 m/s². Rearranging the formula, you get m = W / g. Plugging in the given values, you get m = 490 N / 9.8 m/s² = 50 kg.
Remember to always check the units and use the correct values in the formulas to get accurate results.