The acceleration due to gravity (g) on the surface of a planet is given by the formula:

$$g = \frac{G M}{R^2}$$

where:

• G is the gravitational constant,
• M is the mass of the planet,
• R is the radius of the planet.

If the radius of the Earth shrinks by 2% but its mass remains the same, the new acceleration due to gravity (g') will be:

$$g' = \frac{G M}{(0.98R)^2} = \frac{G M}{0.9604 R^2} = \frac{g}{0.9604}$$

This implies that g' is approximately 1.0412 times g, or an increase of approximately 4.12%.

Therefore, the acceleration due to gravity on the Earth's surface will approximately increase by 4%.