Answer: work = 1,305kJ
Explanation:
angle= 30°
force= 1,500N
distance= 1,000m
The formula for work is : Work= force x distance, however there is an angle of 30° between the direction of force applied and the direction of motion, therefore force must be decomposed to its value on the horizontal axis which is the direction of motion by using the cosine of the very angle.
W= F×cos(α)×D
W= 1,500×cos (30)×1,000
W= 1,305kJ ( kilojoules)
Answer:
<u>Box 1</u>
Explanation:
Formula we are using :
<u>Force = mass × acceleration</u>
or
<u>mass = Force / acceleration</u> (since mass needs to be found)
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Box 1 :
⇒ mass = 5 N / 5 m/s²
⇒ mass = 1 kg
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Box 2 :
⇒ mass = 5 N / 0.75 m/s²
⇒ mass = 5 × 4/3 = 20/3 kg
⇒ mass = 6.67 kg
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Box 3 :
⇒ mass = 5 N / 4.3 m/s²
⇒ mass = 50/43 kg
⇒ mass = 1.16 kg
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On comparing Box 1, Box 2, and Box 3, we understand that <u>Box 1</u> has the smallest mass
Answer:
(1) P = 100 kg-m/s (2) M = 40 kg.
Explanation:
We need to solve the missing variable :
1. P=?, M=20 kg, V=5 m/s
If M is mass, V is velocity, then momentum P is given by :
P = MV
P = 20 kg × 5 m/s
P = 100 kg-m/s
(2) P= 3000 kg(m/s), M=?, V=75 m/s

Hence, P = 100 kg-m/s and M = 40 kg.
Answer:
a) Final velocity of second bowling pin is <u>2.5m/s</u>.
b) Final velocity of second bowling pin is <u>3 m/s</u>.
Explanation:
Let 'm' be the mass of both the bowling pin -
m = 1.5 kg
Initial velocity of first bowling pin -

In any type of collision between two bodies in horizontal plane , momentum is conserved along the line of impact.
a) Since , initial velocity of second bowling pin is 0 m/s -
Initial momentum ,

Final velocity of first bowling pin ,
[Considering initial direction of motion of the first bowling pin to be positive]
Let
be the final velocity of the second bowling pin.
∴ Final momentum ,
.
Now ,

∴
∴
= 3 - 0.5 = 2.5 m/s
∴ Final velocity of second bowling pin is 2.5 m/s.
b) Since , initial velocity of second bowling pin is 0 m/s -
Initial momentum ,

Final velocity of first bowling pin ,
[given][Considering initial direction of motion of the first bowling pin to be positive]
Let
be the final velocity of the second bowling pin.
∴ Final momentum ,
.
Now ,

∴
∴
= 3 - 0 = 3 m/s
∴ Final velocity of second bowling pin is 3 m/s.
Answer:
The theoretical fracture strength of a brittle material is 26465.29 MPa.
Explanation:
Given that,
Length = 0.54 mm
Radius curvature 
Stress = 1050 MPa
We need to calculate the theoretical fracture strength of a brittle material
Using formula of strength

Where, l = length of the crack
= tip radius of curvature
Put the value into the formula


Hence, The theoretical fracture strength of a brittle material is 26465.29 MPa.