Question #217387

1) A 60.0-kg student runs at a constant velocity up a flight of stairs. If the vertical distance of the stairs is 3.2 m, the work done against gravity is ___x10^3 J 


Use the information below to answer the following 4 questions.

A 10.0-kg object is accelerated horizontally from rest to a velocity of 11.0 m/s in 5.00 s by a horizontal force.


2) The acceleration of the object is ___m/s2


3) The horizontal force given to the object is ___N


4) The distance travelled by the object is ___m.


5) The work done on the object is ___J.




1
Expert's answer
2021-07-16T10:23:07-0400

1)1)

Δh=3.2m\Delta h =3.2m

m=60kgm = 60 kg

g=9.8ms2g = 9.8\frac{m}{s^2}

W=mgΔh=609.83.2=1.88103JW = mg\Delta h = 60*9.8*3.2=1.88*10^3J


m1=10kgm_1= 10kg

v0=0;v1=11msv_0 = 0;v_1= 11\frac{m}{s}

t=5st = 5s

2)2)

a=v1v0t=1105=2.2ms2a = \frac{v_1-v_0}{t}= \frac{11-0}{5}=2.2\frac{m}{s^2}

3)3)

F=ma=102.2=22NF = ma = 10*2.2 = 22 N

4)4)

s=v0t+at22=0+2.2252=27.5ms= v_0t +\frac{at^2}{2}= 0+\frac{2.2*25}{2}= 27.5m

5)5)

W1=Fs=2227.5=605JW_1 = Fs = 22*27.5 = 605J

Answer:\text{Answer:}

1)...the work done against gravity is 1.88103J1)\text{...the work done against gravity is }1.88*10^3 J

2) The acceleration of the object is 2.2m/s2\text{2) The acceleration of the object is }2.2m/s^2

3) The horizontal force given to the object is 22N\text{3) The horizontal force given to the object is }22N

4) The distance travelled by the object is 27.5m\text{4) The distance travelled by the object is }27.5m

5) The work done on the object is 605J\text{5) The work done on the object is }605J


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