Answer: B. The particles mover faster.
Explanation:
It is given that, two teams are playing tug of war.
Force applied by Team A, ![F_A=450\ N](https://tex.z-dn.net/?f=F_A%3D450%5C%20N)
Force applied by Team B, ![F_B=415\ N](https://tex.z-dn.net/?f=F_B%3D415%5C%20N)
We need to find the net force acting on the rope. It is equal to :
![F_{net}=F_A-F_B](https://tex.z-dn.net/?f=F_%7Bnet%7D%3DF_A-F_B)
![F_{net}=450-415](https://tex.z-dn.net/?f=F_%7Bnet%7D%3D450-415)
![F_{net}=35\ N](https://tex.z-dn.net/?f=F_%7Bnet%7D%3D35%5C%20N)
So, the net force acting on the rope is 35 N and it is acting toward right. Hence, this is the required solution.
Answer:
(C) 40m/s
Explanation:
Given;
spring constant of the catapult, k = 10,000 N/m
compression of the spring, x = 0.5 m
mass of the launched object, m = 1.56 kg
Apply the principle of conservation of energy;
Elastic potential energy of the catapult = kinetic energy of the target launched.
¹/₂kx² = ¹/₂mv²
where;
v is the target's velocity as it leaves the catapult
kx² = mv²
v² = kx² / m
v² = (10000 x 0.5²) / (1.56)
v² = 1602.56
v = √1602.56
v = 40.03 m/s
v ≅ 40 m/s
Therefore, the target's velocity as it leaves the spring is 40 m/s
Answer:
ball hit the ground from her feet is 1.83 m far away
Explanation:
given data
speed = 5.3 m/s
angle = 12°
height = 1 m
to find out
how far from her feet ball hit ground
solution
we consider here x is horizontal component and y is vertical component
so in vertical
velocity will be = v sin12
vertical speed u = 5.3 sin 12 = 1.1 m/s downward
and
in horizontal , velocity we know v = 5.3 m/s
so from motion of equation
s = ut + 0.5×a×t²
s is distance t is time a is 9.8
put all value
1 = 1.1 ( t) + 0.5×9.8×t²
solve it we get t
t = 0.353 s
and
horizontal distance is = vcos12 × t
so horizontal distance = 5.3×cos12 × ( 0.353)
horizontal distance = 1.83 m
so ball hit the ground from her feet is 1.83 m far away