Physics question!!?

2016-02-26 4:10 am
a bag slides from the top to the bottom of a slide in 1.49 s. The mass of the book bag is 2.30 kg, the length of the slide is 2.60 m and the angle of incline is 33.5°.
Help me find the :
Acceleration of the bag
Friction force on the bag
coefficient of kinetic friction between the bag and the slide
speed of the bag when it reaches the bottom of the slide

回答 (1)

2016-02-26 6:55 am
✔ 最佳答案
Take g = 9.81 m/s²

The motion of the bag sliding from the top to the bottom :
Time taken, t = 1.49 s
Distance, s = 2.60 m
Initial speed, u = 0 m/s
Acceleration, a = ? m/s²

s = u t + (1/2) a t²
2.60 = 0 + (1/2) × a × (1.49)²

Acceleration of the bag, a = 2.60 × 2 / (1.49)² = 2.34 m/s²


====
The motion of the bag sliding from the top to the bottom :
Force, F = m g sin33.5° - f
Mass, m = 2.30 kg
Acceleration = 2.34 m/s²

F = m a
2.30 × 9.81 × sin33.5° - f = 2.30 × 2.34

Frictional force on the bag, f = 2.30 × 9.81 × sin33.5° - 2.30 × 2.34 = 7.07 N


====
Normal force, N = m g cos33.5°
Frictional force, f = 7.07 N

Coefficient of kinetic friction between the bag and the slide
= f/N = 7.07 / (2.30 × 9.81 × cos33.5°)
= 0.376


====
The motion of the bag sliding from the top to the bottom :
Time taken, t = 1.49 s
Distance, s = 2.60 m
Acceleration, a = 2.34 m/s²
Initial speed, u = 0 m/s
Final speed, v = ? m/s

v = u + at
v = 0 + 2.34 × 1.49
v = 3.49 m/s

Alternatively,
s = [(u + v)/2] t
2.60 = [(0 + v)/2] × 1.49
v = 2.60 × 2 / 1.49
v = 3.49 m/s

Speed of the bag when it reaches the bottom of the slide, v = 3.49 m/s


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