Answer:
M2 = 278.06 kg
Explanation:
We calculate the weight of M1
W=m*g
Where
m: mass (kg)
g: acceleration due to gravity (m/s²)
W₁=288* 9.8= 2822.4 N
Look at the attached graphic
We calculate the x-y components of the weight :
W₁x= 2822.4*sin41° N =1851.66 N
W₁y= 2822.4 *cos41° N = 2130.09 N
We apply Newton's first law for the balance in M1:
Σ Fy=0
Fn-W₁y=0 , Fn: normal force
Fn=W₁y=2130.09N
Friction Force = Ff=μs *Fn = 0.41*2130.09 =873.34 N
Σ Fx=0
T- W₁x- Ff=0
T= 1851.66 + 873.34
T= 1851.66 + 873.34
T=2725 N
We apply Newton's first law for the balance in M2:
Σ Fy=0
T- W₂ =0
W₂ = T = 2725 N
W₂ = M2*g
M2 = W₂/g
M2 = 2725/9.8
M2 = 278.06 kg
Answer:
285.7s
Explanation:
Given parameters:
Speed of the person = 1.4m/s
Unknown:
Time it takes to walk one time round the track = ?
Solution:
The circumference of the track is 400m for a standard pitch.
Now;
Speed =
Time =
Now insert the parameters;
Time =
= 285.7s
Answer:
Explanation:
Step one:
given data
initial velocity u= 40m/s
time taken t=3seconds
final velocity v=?
Step two:
applying the first equation of motion
v=u-gt--- (the -ve sign implies that the arrow is against gravity)
assume g=9.81m/s^2
v=40-9.81*3
v=40-29.43
v=10.57m/s
Step three:
how high the target is located
applying
s=ut-1/2gt^2
s=40*3-1/2(9.81)*3^2
s=120-88.29/2
s=120-44.145
s=75.86m