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1. Mechanical energy = 298.4 Joules.

2. Mechanical energy = 2140 Joules.

3. Mechanical energy = 0.2838 Joules.

Explanation:

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

Where,

P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Given the following data;

1. Kinetic energy = 182.2 J

Potential energy = 116.2 J

To find the mechanical energy;

Mechanical energy = kinetic energy + potential energy

Mechanical energy = 182.2 + 116.2

Mechanical energy = 298.4 Joules.

2. Mass = 40kg

Velocity = 3m/s

Height = 5m

We know that acceleration due to gravity is equal to 9.8m/s²

To find the mechanical energy;

We would determine the kinetic and potential energy respectively.

K.E = ½mv²

K.E = ½*40*3²

K.E = 20*9

K.E = 180 Joules.

P.E = mgh

P.E = 40*9.8*5

P.E = = 1960 Joules

Mechanical energy = K.E + P.E

Mechanical energy = 180 + 1960

Mechanical energy = 2140 Joules.

3. Mass = 0.002kg

Height = 3m

Velocity = 15m/s

To find the mechanical energy;

K.E = ½mv²

K.E = ½*0.002*15²

K.E = 0.001*225

K.E = 0.225 Joules.

P.E = mgh

P.E = 0.002*9.8*3

P.E = = 0.0588 Joules

Mechanical energy = K.E + P.E

Mechanical energy = 0.225 + 0.0588

Mechanical energy = 0.2838 Joules.

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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