Answer:
5.9 cm
Explanation:
We'll begin by calculating the spring constant (K) of the spring. This can be obtained as follow:
Force (F) = 15 N
Extention (e) = 3 cm
Spring constant (K) =.?
F = Ke
15 = K × 3
Divide both side by 3
K = 15 / 3
K = 5 N/cm
Therefore, the spring constant (K) is 5 N/cm.
Now, we shall determine how far the spring will stretch when a 3 kg candy is placed on the spring balance.
This can be obtained as follow:
First, we shall determine the weight of the object.
Mass of object = 3 Kg
Acceleration due to gravity (g) = 9.8 m/s²
Weight (W) =?
W = mg
W = 3 × 9.8
W = 29.4 N
Finally, we shall determine how far the spring will stretch as follow:
Weight (W) = Force (F) = 29.4 N
Spring constant (K) = 5 N/cm
Extention (e) =?
F = ke
29.4 = 5 × e
Divide both side by 5
e = 29.4 / 5
e = 5.88 ≈ 5.9 cm
Therefore, the spring will stretch 5.9 cm when a 3 kg candy is placed on the spring balance.
Answer:
0.81452 atm
Explanation:
= Initial pressure = 1.43 L
= Volume
= Initial temperature = (28+273.15) K
= Final temperature = (-35+273.15) K
= Final pressure
From the ideal gas law we have
The pressure in the cylinder is 0.81452 atm
1. What is the force of the marble?
For an object near the surface of the earth, the gravitational force acting upon the object is given by:
F = mg
F is the gravitational force, m is the object's mass, and g is the acceleration of objects due to earth's gravity.
Given values:
m = 0.025kg, g = 9.8m/s²
Plug in the given values and solve for F:
F = 0.025×9.8
F = 0.25N
2. What is the marble's potential energy at the start of its fall?
The gravitational potential energy of an object near the earth's surface is given by:
PE = mgh
PE is the potential energy, m is the object's mass, g is the acceleration of objects due to earth's gravity, and h is the object's relative height.
new given values:
h = 0.08m
Since F = mg, you can simply multiply F×h to get PE. Use the result from question 1:
PE = F×h
PE = 0.25×0.08
PE = 0.02J
First we need to convert the frequency to the correct SI units (seconds)
Frequency of bell = 1440/60 = 24 Hertz (Strikes per second)
Power is the rate of work being done or the work done per second.
P = E/t = (24 * 0.2)/1 = 4.8 Watt
Answer: 637N
Explanation:
Force needed to lift box = ?
Mass of box = 65kg
Acceleration due to gravity, g = 9.8m/s2
Recall that Force applied depends on the mass of an object moved against gravity.
Thus, Force = Mass x acceleration due to gravity
F = mg
F = 65kg x 9.8m/s2
F = 637N
Thus, 637 newton of force is needed to lift a 65kg box