Answer:
v = 14.32 m/s
Explanation:
According to the principle of conservation of linear momentum, both the momentum and kinetic energy of the system are conserved. Since the two balls are in the same direction of motion before collision, then;
+
= (
+
) v
0.035 × 12 + 0.120 × 15 = (0.035 + 0.120) v
0.420 + 1.800 = (0.155) v
2.22 = 0.155 v
⇒ v = 
= 14.323
The velocity of the balls after collision is 14.32 m/s.
Force = 3200 N
Work done = 640, 000 Nm
Explanation:
We begin by calculating the deceleration of the truck, using the velocity and distance;
a = (v² – u²)/2s
whereby;
a = acceleration
v = initial velocity
u = initial velocity
s = distance
We begin by changing the speed from km/h into m/s;
54km/hr = 15m/s
Then acceleration;
a = (0² – 15²) / 2 * 200
a = -225 / 400
a = - 0.5625 m/ s²
To calculate force;
F = ma
Whereby;
F = force
M = mass (in kgs)
a = acceleration
F = 1800 / 0.5625
F = 3200 N
Work done = Force * displacement
Work done = 3200 * 200
= 640, 000 Nm
Learn More:
For more on force and work done check out;
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I think the main idea is that the middle planets have a solid inner core and that they all could have life on them
Answer:
81.9756 m/s
16.8 m
4.8795 Hz
Explanation:
m = Mass of string = 0.12 kg
L = Length of string = 8.4 m
T = Tension on string = 96 N
Linear density is given by

Spee of the wave is given by

The speed of the waves on the string is 81.9756 m/s
Wavelength is given by

The longest possible wavelength is 16.8 m
Frequency is given by

The frequency of the wave is 4.8795 Hz