Answer:
Mass = 30.46 kg
Explanation:
Given the following data;
Spring constant = 45 N/m
Acceleration = 1.3 m/s²
Extension = 0.88 m
To find the mass of the box;
First of all, we would determine the force acting on the spring.
Force = spring constant * extension
Force = 45 * 0.88
Force = 39.6 N
Next, we find the mass using Newton's second equation of motion.
Force = mass * acceleration
39.6 = mass * 1.3
Mass = 39.6/1.3
Mass = 30.46 kg
Answer:
Explanation:
The first part of question is about the height of the rock from which it falls and hit the ground with speed of 11 m/s. Lets find out that height.
We will use the formula,
As the initial velocity of the rock was zero.
Now we have to find the height from which the rock should be dropped and it's speed on hitting the ground should be 22 m/s.
Again we will use the same formula, same calculation but the value of velocity now should be 22 m/s.
Answer:
50.09 km/h
Explanation:
Given that an airplane flying due north at 90 km/h is being blown due west. The planes total velocity is 103 km/ hr north west.
What is velocity of the wind ?
The wind velocity can be calculated by using pythagorean theorem.
From the question,
Resultant Velocity R = 103 km/h
Plane velocity P = 90 km/h
Wind velocity W = ?
W^2 = R^2 - P^2
Substitutes all the parameters into the formula
W^2 = 103^2 - 90^2
W^2 = 10609 - 8100
W^2 = 2509
W = sqrt ( 2509 )
W = 50.09 km/h
Therefore, the velocity of the wind is 50.09 km/h